Answer:
[tex]Length = 6x^2 - 2x + 3[/tex]
Step-by-step explanation:
Given
[tex]Area = 42x^3 - 14x^2 + 21x[/tex]
[tex]Width = 7x[/tex]
Required
Determine the length of the aquarium
The area of a rectangular base is calculated as:
[tex]Area = Length * Width[/tex]
Substitute values for Area and Width
[tex]42x^3 - 14x^2 + 21x = Length * 7x[/tex]
Make Length the subject
[tex]Length = \frac{42x^3 - 14x^2 + 21x}{7x}[/tex]
Factorize the numerator
[tex]Length = \frac{7x(6x^2 - 2x + 3)}{7x}[/tex]
[tex]Length = 6x^2 - 2x + 3[/tex]
Jack decides to invest $300 per quarter into an annuity. How long would he have to keep investing if the annuity is paying 8% annually and he wants to accumulate $10,000?
Answer:
25.95 quarters which is about 6.5 years
Step-by-step explanation:
Write the number that is five less than ten million.
Answer:
9,999,995
Step-by-step explanation:
can you help me with this
Answer:
85
Step-by-step explanation:
180-(67+28)
180-95
85
please mark brainliest
Can anyone help complete this table?
Which of the following is not a statement?
a) Math is hard.
b) v2 is a rational number.
C) Plants require water to live.
d) Lake Martin is a man-made lake.
A ) I am just guessing
isbslw
What does b stand for 11.3 > b/4.3
Answer:
b = 45.69
Step-by-step explanation:
5 x 5 = 25
25 x 2 & and a half = 45.69
In the inequality expression "11.3 > b/4.3," the variable "b" represents an unknown numerical value.
In the inequality 11.3 > b/4.3, b is the variable.
The inequality is stating that 11.3 is greater than the result of dividing "b" by 4.3.
The purpose of the inequality is to compare the value of 11.3 with the value of "b/4.3" and determine if 11.3 is greater or not.
The variable "b" can take any value that satisfies the inequality.
Hence, in the inequality b stands for unknown value or variable.
To learn more on Inequality click:
https://brainly.com/question/28823603
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PLEASE ANSWER ASAP
Maryam writes down the following 6 numbers
11, 11, 12, 18, 19, A
Maryam works out the mean of the 6 numbers, she then increases the value of a by 60
What will this do to the mean of the 6 numbers?
Surface Area of 20,70,90 Will give brainliest to correct answer
Answer:
126000
Step-by-step explanation:
20×70×90
Multiply 20 and 70 to get 1400.
1400×90
Multiply 1400 and 90 to get 126000.
126000
Answer:
126000
Step-by-step explanation:
20×70×90
Multiply 20 and 70 to get 1400.
1400×90
Multiply 1400 and 90 to get 126000.
126000
Solve the equation for all real solutions in simplest form.
3z^2+17z+16=0
Answer:
[tex]x=\frac{-17+\sqrt{97}}{6}[/tex], [tex]x=\frac{-17-\sqrt{97}}{6}[/tex]
Step-by-step explanation:
Use the quadratic formula to solve for all real solutions.
Quadratic formula: [tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
Plug in and solve:
[tex]x=\frac{-17\pm\sqrt{17^2-4(3)(16)}}{2(3)}\\\\x=\frac{-17\pm\sqrt{289-4(3)(16)}}{2(3)}\\\\x=\frac{-17\pm\sqrt{289-12(16)}}{2(3)}\\\\x=\frac{-17\pm\sqrt{289-192}}{2(3)}\\\\x=\frac{-17\pm\sqrt{97}}{6}\\[/tex]
Since that's the farthest we can simplify to, your answers would be the positive and negative versions of the expression:
[tex]x=\frac{-17+\sqrt{97}}{6}[/tex]
and
[tex]x=\frac{-17-\sqrt{97}}{6}[/tex]
Given an absolute value function f(x)=|x|, what is the effect of adding a constant k to the function?
Answer: the graph of the resulting function, |x| + k, is the graph of f (x) shifted k units up
Step-by-step explanation:
just took the test
The police use a speed gun to monitor one part of a highway. During one hour, 4 out of 25 cars were traveling above the speed limit. What percent of cars were traveling above the speed limit.
Answer: 16%
Step-by-step explanation: Because if you look at that denominator then you can see that its 25 so if you multiplied that by 4 then you'll get 100 which is 100% so whatever you do to the denominator you have to do to the numerator so 4x4 is 16 so thats 16% and there you go.
Can someone please help me with my math homework?
Which equation shows the relationship between d and t?
Answer:
d=50t
Step-by-step explanation:
for every d, t is d times 50
Select all the equations that describe each situation and then find the solution.
Kiran’s backpack weighs 3 pounds less than Clare’s backpack. Clare’s backpack weighs 14 pounds. How much does Kiran’s backpack weigh?
Answer:
Its 11
Step-by-step explanation:
Complete the table for the given rule.
Rule: y = 5x
A student who is trying to write a paper for a course has a choice of two topics, A and B. If topic A is chosen, the student will order two books through interlibrary loan, whereas if topic B is chosen, the student will order four books. The student believes that a good paper necessitates receiving and using at least half the books ordered for either topic chosen. If the probability that a book ordered through interlibrary loan actually arrives in time is .9 and books arrive independently of one another, which topic should the student choose to maximize the probability of writing a good paper? What if the arrival probability is only .5 instead of .9?
Answer:
[tex]\text{For topic A }:0.99\\\text{For Topic B}: 0.6875[/tex]
Step-by-step explanation:
Topic A: Two books are ordered
Topic B: Four books are ordered
Let X= number of books arrived
The probability that a book actually arrives in time is 0.9
i.e., p=0.9
For Topic A:
[tex]P(X\geq 1)=P(X=1)+P(X=2)\\\Rightarrow P(X\geq 1)= \;^2C_1 (0.9)^1(0.1)^(2-1)+\;^2C_2 (0.9)^2(0.1)^(2-2)\\\Rightarrow P(X\geq 1)=0.18+0.81\\\Rightarrow P(X\geq 1)=0.99[/tex]
For Topic B:
[tex]P(X\geq 2)=P(X=2)+P(X=3)+P(X=4)\\\Rightarrow P(X\geq 2)=1-[P(X=0)+P(X=1)]\\\Rightarrow P(X\geq 2)=1-[\;^4C_0(0.5)^0(0.5)^4 +\;^4C_0(0.5)^1(0.5)^3]\\\Rightarrow P(X\geq 2)=1-[0.0625+0.25]\\\Rightarrow P(X\geq 2)=0.6875[/tex]
A trapezoid has a base 1 = 6 base = 8 and a height = 3 whats the area?
Answer:
[tex]area = 21[/tex]
Step-by-step explanation:
Area of trapezoid formula:
[tex]area = \frac{a + b}{2} h[/tex]
Given information:
a: 6
b: 8
h: 3
Using the given information,
[tex]area = \frac{6 + 8}{2} 3[/tex]
Add the numbers in the numerator
[tex]area = \frac{14}{2} 3[/tex]
Reduce fraction with 2
[tex]area = 7 \times 3[/tex]
Answer:
[tex]area = 21[/tex]
A cable TV company charges $28 for the basic service plus $8 for each movie channel. Let y be the total cost
in dollars of subscribing to cable TV, using x movie channels. Find the slope-intercept form of the equation.
Look at pic
Answer:
y= 28x+8
Step-by-step explanation:
I need help with this question I would be grateful really
Answer:
B
Step-by-step explanation:
B
the vertex is (-5,-2) which eliminates A and C. D says that the x intercepts are both positive which is obviously incorrect making B the correct answer
How many triangles can be constructed with sides measuring 15 cm, 7 cm, and 5 cm?
more than one
none
one
Answer:
More than one
Step-by-step explanation:
Trust me, I know.
Answer:
none
Step-by-step explanation:
i have proof i just took the test
the worst carrier of contamination of food service is
Answer:
Dirty unwashed hands
Step-by-step explanation:
Answer:
Clean hands and clean food
Step-by-step explanation:
jk
Homework due at 12:00 I need HELP. Please!!!
Help me with my math**50 pts** i mark brainliest**
Answer:
3) Reflexive Property
4) SAS
Step-by-step explanation:
ST ≅ TS1. The Reflexive Property states that: a quantity is congruent (equal) to itself.
Example: a = a In this case, it could be seen as ST ≅ ST because they have/are the same side(s).RST ≅ UTS1. SAS theorem states that: two triangles are equal if two sides and the angle between those two sides are equal.
Example: RST ≅ UTS (both have S and T) Can be seen as RST ≅ UST as well to make their similarity more evident.2. Because it is given that RS ≅ UT and RT ≅ US, and it includes the same 2 lines being equal as given/said, RST ≅ UTS because of SAS (theorem).
In the first quarter of 2010, U.S. advertisers spent $5.9 billion on online
advertising. In the first quarter of 2011, they spent $7.3 billion. What is the
percentage rate of growth? (Round to one percentage place.)
Answer:
$1.4 B per year
Step-by-step explanation:
13. Given f(x) = X – 3 and g(x) = 4x, find f(g(x)).
A. 4x - 3
B. 4x - 12
C. 5x - 3
D. 3x - 3
Step-by-step explanation:
f(g(x))
= f(4x)
= (4x) - 3. (A)
Step-by-step explanation:
option A is the correct answer according to my opinion .
plz mark my answer as brainlist if you find it useful.
There is an ample supply of identical blocks (as shown). Each block is constructed from four 1 × 1 × 1 unit-cubes glued whole-face to whole-face. What is the greatest number of such blocks that can be packed into a box that is 6 units tall, 7 units wide, and 8 units deep without exceeding the height of the box?
Answer:
72
Step-by-step explanation:
The answer is 72 because my teacher gave it to me. I promise i'm legit, and I won't lie. This is the real answer, and if you choose 336, you're probably getting it wrong. That's from Math Olympiad.
why every comment but don't
Answer:
thanks
Step-by-step explanation:
1-Un balón de fútbol tiene un precio de $125 + IVA
1. ¿Cuánto es el IVA del balón?
A) 125 b) 200 c) 245
Answer:
b) 200
Step-by-step explanation:
The correct answer is b) 200
1) El IVA del balón es de $ 20.
2) El precio final del balón es $ 145.
1) El Impuesto al Valor Agregado (IVA) es un impuesto indirecto que se aplica sobre el precio de compra del artículo comprado, es decir, se trata de un impuesto indirecto al consumo.
El porcentaje por concepto del impuesto varía de país en país. No obstante, el valor más común en países hispanoparlantes se ubica en torno al 16 % del precio de compra del artículo.
El IVA del balón se determina mediante la siguiente operación aritmética:
[tex]\Delta C = 0.16\cdot (125)[/tex]
[tex]\Delta C = 20[/tex]
El IVA del balón es de $ 20.
2) El precio final del producto es la suma del precio de compra y el IVA, es decir:
[tex]C = 125 + 20[/tex]
[tex]C = 145[/tex]
El precio final del balón es $ 145.
Para aprender más sobre impuestos, invitamos cordialmente a ver esta pregunta verificada: https://brainly.com/question/24907444
Nota - El enunciado reporta numerosos errores tipográficos y está incompleto, el enunciado correcto y completo es el siguiente:
Un balón de fútbol tiene un precio de $ 125 + IVA.
1) ¿Cuánto es el IVA del balón? a) 20, b) 145, c) 325
2) ¿Cuál es el precio final con IVA del balón? a) 125, b) 200, c) 145
Please help!!!! I don’t understand how to figure it out
Answer:
(sin x)^2*(sec x) is positive in QII
Step-by-step explanation:
(sin x)^2 is always 0 or positive. Here x lies in QII.
sec x is positive when the adjacent side is positive and negative when the adjacent side is negative. In QII the adjacent side is positive.
In summary, (sin x)^2*(sec x) is positive in QII
3.3.PS-14
Question Help
A salesperson at a jewelry store earns 4% commission each week. Last week, Jarrod sold $450
worth of jewelry. How much did he make in commission? How much did the jewelry store make
from his sales?
Jarrod earned $ in commission.
Enter your answer in the answer box and then click Check Answer.
Answer:
tis is not confirmed answer
Step-by-step explanation:
comiision: 112.5%
